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A particle is moving along a plane curve and the position of the
particle at any time t is (x, y). Let the equations of the motion
dy
of the moving particle be: +2x = 2 sin(t) cos(t),
dx
-
dt
dt
2y = 2 cos² (t)-1, t> 0. If at t = 0, x = 1 and y = 0, find
the position of the particle at time t.

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